1. Chapter 1

2.  Pg. 4-9  Obj: Learn how to write algebraic expressions.  Content Standard: A.SSE.1.a

3.  Quantity – anything that can be measured or counted  Variable – a symbol, usually a letter, that represents the value(s) of a variable quantity  Algebraic expression – a mathematical phrase that includes one or more variables  Numerical expression – a mathematical phrase involving numbers and operation symbols, but no variables

4.  Pg. 10 – 15  Obj: Learn how to simplify expressions involving exponents and use the order of operations to evaluate expressions.  Content Standard: A.SSE.1.a

5.  Power  Base – 4  Exponent – 5  Simplify – replace a numerical expression with its single numerical value  Evaluate – replace a variable with a given number

6.  Order of Operations  P – Please – Parentheses  E – Excuse – Exponents  M – My – Multiplication  D – Dear – Division  A – Aunt – Addition  S – Sally - Subtraction

7.  Pg. 16 – 22  Obj: Learn how to classify, graph, and compare real numbers and find and estimate square roots.  Content Standard: (prepares) N.RN.3

8.  Square Root  A number a is a square root of number b if a²=b.  Radicand – the expression under the radical symbol  Radical – the radical symbol and radicand together  Perfect Square – the square of an integer  Set – a well-defined collection of objects  Element of a set – each object in a set

9.  Subset – consists of elements from the given set – can be listed within brackets {}  Inequality – a mathematical sentence that compares the values of two expressions using an inequality symbol

10.  Real Numbers Rational Numbers– any number that can be written as a fraction Irrational Numbers – those numbers which cannot be written as fractions Integers – negative, positive numbers and zero (no decimals) Whole Numbers – positive integers and zero Natural Numbers – positive integers

11.  Pg. 23 – 28  Obj: Learn how to identify and use properties of real numbers.  Content Standard: (prepares) N.RN.3

12.  Equivalent Expressions – two algebraic expressions that have the same value for all values of the variable(s)  Deductive Reasoning – the process of reasoning logically from given facts to a conclusion  Counterexample – an example showing that a statement is false

13.  Commutative Properties  Addition – a+b=b+a  Multiplication – ab = ba  Associative Properties  Addition – (a + b) + c = a + (b + c)  Multiplication – (ab)c = a(bc)  Identity Properties  Addition – a + 0 = a  Multiplication – a(1) = a

14.  Zero Property of Multiplication  a(0) = 0  Multiplication Property of -1  -1(a) = -a

15.  Pg. 30 – 36  Obj: Learn how to find sums and differences of real numbers.  Content Standard: (prepares) N.RN.3

16.  Absolute Value- the distance a number is from 0 (always positive)  Opposites – two numbers that are the same distance from zero on a number line, but in opposite directions  Additive Inverse – a number and its opposite

17.  Adding Real Numbers  Like Signs – Add the absolute values and keep the sign  Different Signs – Subtract the absolute values and keep the sign of the larger absolute value  Subtracting Real Numbers  Change subtraction to addition, change the sign of the second number, and follow the addition rules

18.  Pg. 38 – 44  Obj: Learn how to find the products and quotients of real numbers.  Content Standard: (prepares) N.RN.3

19.  Multiplying and Dividing Real Numbers  Like signs – positive answer  Different signs – negative answer  Multiplicative Inverse  For every nonzero real number a, there is a multiplicative inverse 1/a such that a(1/a) = 1  Reciprocal – a nonzero real number of the form a/b is b/a

20.  Pg. 46 – 52  Obj: Learn how to use the Distributive Property to simplify expressions.  Content Standard: A.SSE.1.a

21.  Distributive Property  a(b + c) = ab + ac  (b + c)a = ba + ca  a(b – c) = ab = ac  (b – c)a = ba – ca  Term – a number, a variable, or the product of a number and one or more variables  Constant – a term that has no variable  Coefficient – a numerical factor of a term  Like Terms – have the same variable factors

22.  Pg. 53 – 58  Obj: Learn how to solve equations using tables and mental math.  Content Standard: A.CED.1

23.  Equation – a mathematical sentence that uses an equal sign  Open sentence – an equation that contains one or more variables and may be true or false depending on the values of its variables  Solution of an equation – a value of the variable that makes the equation true

24.  Pg. 61 – 66  Obj: Learn how to use tables, equations, and graphs to describe relationships.  Content Standard: A.REI.10 and A.CED.2

25.  Graphing in the Coordinate Plane  Coordinate Plane – two number lines that intersect at right angles  X-axis – the horizontal axis  Y-axis – the vertical axis  Origin – the point at which the axes intersect  Quadrants – the four sections formed by the x- and y- axes  Ordered Pair – names the location of a point in the plane

26.  Graphing in the Coordinate Plane  Coordinates – the numbers in an ordered pair ▪ X-coordinate – first number – the number of units left or right of the origin ▪ Y-coordinate – second number – the number of units up or down of the origin

27.  Solution of an Equation – any ordered pair that makes the equation true  Inductive Reasoning – the process of reaching a conclusion based on an observed pattern